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<div class="title">SparsePermutation.h</div>  </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">// This file is part of Eigen, a lightweight C++ template library</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">// for linear algebra.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">// Copyright (C) 2012 Gael Guennebaud &lt;gael.guennebaud@inria.fr&gt;</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">// Public License v. 2.0. If a copy of the MPL was not distributed</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160; </div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#ifndef EIGEN_SPARSE_PERMUTATION_H</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#define EIGEN_SPARSE_PERMUTATION_H</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160; </div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="comment">// This file implements sparse * permutation products</span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160; </div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &quot;./InternalHeaderCheck.h&quot;</span></div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160; </div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespaceEigen.html">Eigen</a> { </div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160; </div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160; </div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> ExpressionType, <span class="keywordtype">int</span> S<span class="keywordtype">id</span>e, <span class="keywordtype">bool</span> Transposed&gt;</div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="keyword">struct </span>permutation_matrix_product&lt;ExpressionType, Side, Transposed, SparseShape&gt;</div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;{</div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> nested_eval&lt;ExpressionType, 1&gt;::type MatrixType;</div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">typedef</span> remove_all_t&lt;MatrixType&gt; MatrixTypeCleaned;</div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160; </div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixTypeCleaned::Scalar Scalar;</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixTypeCleaned::StorageIndex StorageIndex;</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160; </div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;    <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      SrcStorageOrder = MatrixTypeCleaned::Flags&amp;<a class="code" href="group__flags.html#gae4f56c2a60bbe4bd2e44c5b19cbe8762">RowMajorBit</a> ? <a class="code" href="group__enums.html#ggaacded1a18ae58b0f554751f6cdf9eb13a77c993a8d9f6efe5c1159fb2ab07dd4f">RowMajor</a> : <a class="code" href="group__enums.html#ggaacded1a18ae58b0f554751f6cdf9eb13a0103672ae41005ab03b4176c765afd62">ColMajor</a>,</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      MoveOuter = SrcStorageOrder==<a class="code" href="group__enums.html#ggaacded1a18ae58b0f554751f6cdf9eb13a77c993a8d9f6efe5c1159fb2ab07dd4f">RowMajor</a> ? Side==<a class="code" href="group__enums.html#ggac22de43beeac7a78b384f99bed5cee0ba21b30a61e9cb10c967aec17567804007">OnTheLeft</a> : Side==<a class="code" href="group__enums.html#ggac22de43beeac7a78b384f99bed5cee0ba329fc3a54ceb2b6e0e73b400998b8a82">OnTheRight</a></div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    };</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    </div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;    <span class="keyword">typedef</span> std::conditional_t&lt;MoveOuter,</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        SparseMatrix&lt;Scalar,SrcStorageOrder,StorageIndex&gt;,</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        SparseMatrix&lt;Scalar,int(SrcStorageOrder)==<a class="code" href="group__enums.html#ggaacded1a18ae58b0f554751f6cdf9eb13a77c993a8d9f6efe5c1159fb2ab07dd4f">RowMajor</a>?<a class="code" href="group__enums.html#ggaacded1a18ae58b0f554751f6cdf9eb13a0103672ae41005ab03b4176c765afd62">ColMajor</a>:<a class="code" href="group__enums.html#ggaacded1a18ae58b0f554751f6cdf9eb13a77c993a8d9f6efe5c1159fb2ab07dd4f">RowMajor</a>,StorageIndex&gt; &gt; ReturnType;</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160; </div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Dest,<span class="keyword">typename</span> PermutationType&gt;</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;    <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> run(Dest&amp; dst, <span class="keyword">const</span> PermutationType&amp; perm, <span class="keyword">const</span> ExpressionType&amp; xpr)</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;    {</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      MatrixType mat(xpr);</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keywordflow">if</span>(MoveOuter)</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      {</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        SparseMatrix&lt;Scalar,SrcStorageOrder,StorageIndex&gt; tmp(mat.rows(), mat.cols());</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        Matrix&lt;StorageIndex,Dynamic,1&gt; sizes(mat.outerSize());</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;        <span class="keywordflow">for</span>(<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> j=0; j&lt;mat.outerSize(); ++j)</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        {</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;          <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> jp = perm.indices().coeff(j);</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;          sizes[((Side==<a class="code" href="group__enums.html#ggac22de43beeac7a78b384f99bed5cee0ba21b30a61e9cb10c967aec17567804007">OnTheLeft</a>) ^ Transposed) ? jp : j] = StorageIndex(mat.innerVector(((Side==<a class="code" href="group__enums.html#ggac22de43beeac7a78b384f99bed5cee0ba329fc3a54ceb2b6e0e73b400998b8a82">OnTheRight</a>) ^ Transposed) ? jp : j).nonZeros());</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;        }</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;        tmp.reserve(sizes);</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;        <span class="keywordflow">for</span>(<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> j=0; j&lt;mat.outerSize(); ++j)</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;        {</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;          <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> jp = perm.indices().coeff(j);</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;          <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> jsrc = ((Side==<a class="code" href="group__enums.html#ggac22de43beeac7a78b384f99bed5cee0ba329fc3a54ceb2b6e0e73b400998b8a82">OnTheRight</a>) ^ Transposed) ? jp : j;</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;          <a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> jdst = ((Side==<a class="code" href="group__enums.html#ggac22de43beeac7a78b384f99bed5cee0ba21b30a61e9cb10c967aec17567804007">OnTheLeft</a>) ^ Transposed) ? jp : j;</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;          <span class="keywordflow">for</span>(<span class="keyword">typename</span> MatrixTypeCleaned::InnerIterator it(mat,jsrc); it; ++it)</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;            tmp.insertByOuterInner(jdst,it.index()) = it.value();</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        }</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;        dst = tmp;</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      }</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keywordflow">else</span></div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      {</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        SparseMatrix&lt;Scalar,int(SrcStorageOrder)==<a class="code" href="group__enums.html#ggaacded1a18ae58b0f554751f6cdf9eb13a77c993a8d9f6efe5c1159fb2ab07dd4f">RowMajor</a>?<a class="code" href="group__enums.html#ggaacded1a18ae58b0f554751f6cdf9eb13a0103672ae41005ab03b4176c765afd62">ColMajor</a>:<a class="code" href="group__enums.html#ggaacded1a18ae58b0f554751f6cdf9eb13a77c993a8d9f6efe5c1159fb2ab07dd4f">RowMajor</a>,StorageIndex&gt; tmp(mat.rows(), mat.cols());</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        Matrix&lt;StorageIndex,Dynamic,1&gt; sizes(tmp.outerSize());</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        sizes.setZero();</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        PermutationMatrix&lt;Dynamic,Dynamic,StorageIndex&gt; perm_cpy;</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <span class="keywordflow">if</span>((Side==<a class="code" href="group__enums.html#ggac22de43beeac7a78b384f99bed5cee0ba21b30a61e9cb10c967aec17567804007">OnTheLeft</a>) ^ Transposed)</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;          perm_cpy = perm;</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keywordflow">else</span></div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;          perm_cpy = perm.transpose();</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160; </div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="keywordflow">for</span>(<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> j=0; j&lt;mat.outerSize(); ++j)</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;          <span class="keywordflow">for</span>(<span class="keyword">typename</span> MatrixTypeCleaned::InnerIterator it(mat,j); it; ++it)</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;            sizes[perm_cpy.indices().coeff(it.index())]++;</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        tmp.reserve(sizes);</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        <span class="keywordflow">for</span>(<a class="code" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> j=0; j&lt;mat.outerSize(); ++j)</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;          <span class="keywordflow">for</span>(<span class="keyword">typename</span> MatrixTypeCleaned::InnerIterator it(mat,j); it; ++it)</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;            tmp.insertByOuterInner(perm_cpy.indices().coeff(it.index()),j) = it.value();</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        dst = tmp;</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      }</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;    }</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;};</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160; </div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;}</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160; </div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;<span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160; </div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;<span class="keyword">template</span> &lt;<span class="keywordtype">int</span> ProductTag&gt; <span class="keyword">struct </span>product_promote_storage_type&lt;Sparse,             PermutationStorage, ProductTag&gt; { <span class="keyword">typedef</span> Sparse ret; };</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;<span class="keyword">template</span> &lt;<span class="keywordtype">int</span> ProductTag&gt; <span class="keyword">struct </span>product_promote_storage_type&lt;PermutationStorage, Sparse,             ProductTag&gt; { <span class="keyword">typedef</span> Sparse ret; };</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160; </div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;<span class="comment">// TODO, the following two overloads are only needed to define the right temporary type through </span></div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;<span class="comment">// typename traits&lt;permutation_sparse_matrix_product&lt;Rhs,Lhs,OnTheRight,false&gt; &gt;::ReturnType</span></div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;<span class="comment">// whereas it should be correctly handled by traits&lt;Product&lt;&gt; &gt;::PlainObject</span></div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160; </div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Lhs, <span class="keyword">typename</span> Rhs, <span class="keywordtype">int</span> ProductTag&gt;</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;<span class="keyword">struct </span>product_evaluator&lt;Product&lt;Lhs, Rhs, AliasFreeProduct&gt;, ProductTag, PermutationShape, SparseShape&gt;</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;  : <span class="keyword">public</span> evaluator&lt;typename permutation_matrix_product&lt;Rhs,OnTheLeft,false,SparseShape&gt;::ReturnType&gt;</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;{</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;  <span class="keyword">typedef</span> Product&lt;Lhs, Rhs, AliasFreeProduct&gt; XprType;</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> permutation_matrix_product&lt;Rhs,OnTheLeft,false,SparseShape&gt;::ReturnType PlainObject;</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;  <span class="keyword">typedef</span> evaluator&lt;PlainObject&gt; Base;</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160; </div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;    Flags = Base::Flags | <a class="code" href="group__flags.html#gaa34e83bae46a8eeae4e69ebe3aaecbed">EvalBeforeNestingBit</a></div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;  };</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160; </div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;  <span class="keyword">explicit</span> product_evaluator(<span class="keyword">const</span> XprType&amp; xpr)</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;    : m_result(xpr.rows(), xpr.cols())</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;  {</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;    internal::construct_at&lt;Base&gt;(<span class="keyword">this</span>, m_result);</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;    generic_product_impl&lt;Lhs, Rhs, PermutationShape, SparseShape, ProductTag&gt;::evalTo(m_result, xpr.lhs(), xpr.rhs());</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;  }</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160; </div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;<span class="keyword">protected</span>:</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;  PlainObject m_result;</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;};</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160; </div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> Lhs, <span class="keyword">typename</span> Rhs, <span class="keywordtype">int</span> ProductTag&gt;</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;<span class="keyword">struct </span>product_evaluator&lt;Product&lt;Lhs, Rhs, AliasFreeProduct&gt;, ProductTag, SparseShape, PermutationShape &gt;</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;  : <span class="keyword">public</span> evaluator&lt;typename permutation_matrix_product&lt;Lhs,OnTheRight,false,SparseShape&gt;::ReturnType&gt;</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;{</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;  <span class="keyword">typedef</span> Product&lt;Lhs, Rhs, AliasFreeProduct&gt; XprType;</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;  <span class="keyword">typedef</span> <span class="keyword">typename</span> permutation_matrix_product&lt;Lhs,OnTheRight,false,SparseShape&gt;::ReturnType PlainObject;</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;  <span class="keyword">typedef</span> evaluator&lt;PlainObject&gt; Base;</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160; </div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;    Flags = Base::Flags | <a class="code" href="group__flags.html#gaa34e83bae46a8eeae4e69ebe3aaecbed">EvalBeforeNestingBit</a></div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;  };</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160; </div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;  <span class="keyword">explicit</span> product_evaluator(<span class="keyword">const</span> XprType&amp; xpr)</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;    : m_result(xpr.rows(), xpr.cols())</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;  {</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;    ::new (<span class="keyword">static_cast&lt;</span>Base*<span class="keyword">&gt;</span>(<span class="keyword">this</span>)) Base(m_result);</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;    generic_product_impl&lt;Lhs, Rhs, SparseShape, PermutationShape, ProductTag&gt;::evalTo(m_result, xpr.lhs(), xpr.rhs());</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;  }</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160; </div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;protected:</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;  PlainObject m_result;</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;};</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160; </div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;} <span class="comment">// end namespace internal</span></div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160; </div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;template&lt;typename SparseDerived, typename PermDerived&gt;</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;inline const Product&lt;SparseDerived, PermDerived, AliasFreeProduct&gt;</div>
<div class="line"><a name="l00149"></a><span class="lineno"><a class="line" href="namespaceEigen.html#a429958a0e6bd27168f3935d3100c55cf">  149</a></span>&#160;operator*(const <a class="code" href="classEigen_1_1SparseMatrixBase.html">SparseMatrixBase</a>&lt;SparseDerived&gt;&amp; matrix, const <a class="code" href="classEigen_1_1PermutationBase.html">PermutationBase</a>&lt;PermDerived&gt;&amp; perm)</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;{ <span class="keywordflow">return</span> <a class="code" href="classEigen_1_1Product.html">Product&lt;SparseDerived, PermDerived, AliasFreeProduct&gt;</a>(matrix.derived(), perm.derived()); }</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160; </div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> SparseDerived, <span class="keyword">typename</span> PermDerived&gt;</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;<span class="keyword">inline</span> <span class="keyword">const</span> Product&lt;PermDerived, SparseDerived, AliasFreeProduct&gt;</div>
<div class="line"><a name="l00156"></a><span class="lineno"><a class="line" href="namespaceEigen.html#a02fbb1bbd915b899b34a56a3cd64c438">  156</a></span>&#160;<a class="code" href="namespaceEigen.html#a9723b3ff0f2c99fe1081e3eb14380d4c">operator*</a>( <span class="keyword">const</span> <a class="code" href="classEigen_1_1PermutationBase.html">PermutationBase&lt;PermDerived&gt;</a>&amp; perm, <span class="keyword">const</span> <a class="code" href="classEigen_1_1SparseMatrixBase.html">SparseMatrixBase&lt;SparseDerived&gt;</a>&amp; matrix)</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;{ <span class="keywordflow">return</span>  <a class="code" href="classEigen_1_1Product.html">Product&lt;PermDerived, SparseDerived, AliasFreeProduct&gt;</a>(perm.<a class="code" href="structEigen_1_1EigenBase.html#a1fbabe7f12bcbfba3b9a448b1f5e46fa">derived</a>(), matrix.<a class="code" href="structEigen_1_1EigenBase.html#a1fbabe7f12bcbfba3b9a448b1f5e46fa">derived</a>()); }</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160; </div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160; </div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> SparseDerived, <span class="keyword">typename</span> PermutationType&gt;</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;<span class="keyword">inline</span> <span class="keyword">const</span> Product&lt;SparseDerived, Inverse&lt;PermutationType&gt;, AliasFreeProduct&gt;</div>
<div class="line"><a name="l00164"></a><span class="lineno"><a class="line" href="namespaceEigen.html#a8b7051d2f98498d619044089949f931d">  164</a></span>&#160;<a class="code" href="namespaceEigen.html#a9723b3ff0f2c99fe1081e3eb14380d4c">operator*</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1SparseMatrixBase.html">SparseMatrixBase&lt;SparseDerived&gt;</a>&amp; matrix, <span class="keyword">const</span> InverseImpl&lt;PermutationType, PermutationStorage&gt;&amp; tperm)</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;{</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="classEigen_1_1Product.html">Product&lt;SparseDerived, Inverse&lt;PermutationType&gt;</a>, AliasFreeProduct&gt;(matrix.<a class="code" href="structEigen_1_1EigenBase.html#a1fbabe7f12bcbfba3b9a448b1f5e46fa">derived</a>(), tperm.derived());</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;}</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160; </div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> SparseDerived, <span class="keyword">typename</span> PermutationType&gt;</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;<span class="keyword">inline</span> <span class="keyword">const</span> Product&lt;Inverse&lt;PermutationType&gt;, SparseDerived, AliasFreeProduct&gt;</div>
<div class="line"><a name="l00173"></a><span class="lineno"><a class="line" href="namespaceEigen.html#ad225313de8037d40c2d26c17edf1a9fd">  173</a></span>&#160;<a class="code" href="namespaceEigen.html#a9723b3ff0f2c99fe1081e3eb14380d4c">operator*</a>(<span class="keyword">const</span> InverseImpl&lt;PermutationType,PermutationStorage&gt;&amp; tperm, <span class="keyword">const</span> <a class="code" href="classEigen_1_1SparseMatrixBase.html">SparseMatrixBase&lt;SparseDerived&gt;</a>&amp; matrix)</div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;{</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="classEigen_1_1Product.html">Product&lt;Inverse&lt;PermutationType&gt;</a>, SparseDerived, AliasFreeProduct&gt;(tperm.derived(), matrix.<a class="code" href="structEigen_1_1EigenBase.html#a1fbabe7f12bcbfba3b9a448b1f5e46fa">derived</a>());</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;}</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160; </div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;} <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160; </div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;<span class="preprocessor">#endif </span><span class="comment">// EIGEN_SPARSE_SELFADJOINTVIEW_H</span></div>
<div class="ttc" id="aclassEigen_1_1PermutationBase_html"><div class="ttname"><a href="classEigen_1_1PermutationBase.html">Eigen::PermutationBase</a></div><div class="ttdoc">Base class for permutations.</div><div class="ttdef"><b>Definition:</b> PermutationMatrix.h:49</div></div>
<div class="ttc" id="aclassEigen_1_1Product_html"><div class="ttname"><a href="classEigen_1_1Product.html">Eigen::Product</a></div><div class="ttdoc">Expression of the product of two arbitrary matrices or vectors.</div><div class="ttdef"><b>Definition:</b> Product.h:77</div></div>
<div class="ttc" id="aclassEigen_1_1SparseMatrixBase_html"><div class="ttname"><a href="classEigen_1_1SparseMatrixBase.html">Eigen::SparseMatrixBase</a></div><div class="ttdoc">Base class of any sparse matrices or sparse expressions.</div><div class="ttdef"><b>Definition:</b> SparseMatrixBase.h:30</div></div>
<div class="ttc" id="agroup__enums_html_ggaacded1a18ae58b0f554751f6cdf9eb13a0103672ae41005ab03b4176c765afd62"><div class="ttname"><a href="group__enums.html#ggaacded1a18ae58b0f554751f6cdf9eb13a0103672ae41005ab03b4176c765afd62">Eigen::ColMajor</a></div><div class="ttdeci">@ ColMajor</div><div class="ttdef"><b>Definition:</b> Constants.h:321</div></div>
<div class="ttc" id="agroup__enums_html_ggaacded1a18ae58b0f554751f6cdf9eb13a77c993a8d9f6efe5c1159fb2ab07dd4f"><div class="ttname"><a href="group__enums.html#ggaacded1a18ae58b0f554751f6cdf9eb13a77c993a8d9f6efe5c1159fb2ab07dd4f">Eigen::RowMajor</a></div><div class="ttdeci">@ RowMajor</div><div class="ttdef"><b>Definition:</b> Constants.h:323</div></div>
<div class="ttc" id="agroup__enums_html_ggac22de43beeac7a78b384f99bed5cee0ba21b30a61e9cb10c967aec17567804007"><div class="ttname"><a href="group__enums.html#ggac22de43beeac7a78b384f99bed5cee0ba21b30a61e9cb10c967aec17567804007">Eigen::OnTheLeft</a></div><div class="ttdeci">@ OnTheLeft</div><div class="ttdef"><b>Definition:</b> Constants.h:334</div></div>
<div class="ttc" id="agroup__enums_html_ggac22de43beeac7a78b384f99bed5cee0ba329fc3a54ceb2b6e0e73b400998b8a82"><div class="ttname"><a href="group__enums.html#ggac22de43beeac7a78b384f99bed5cee0ba329fc3a54ceb2b6e0e73b400998b8a82">Eigen::OnTheRight</a></div><div class="ttdeci">@ OnTheRight</div><div class="ttdef"><b>Definition:</b> Constants.h:336</div></div>
<div class="ttc" id="agroup__flags_html_gaa34e83bae46a8eeae4e69ebe3aaecbed"><div class="ttname"><a href="group__flags.html#gaa34e83bae46a8eeae4e69ebe3aaecbed">Eigen::EvalBeforeNestingBit</a></div><div class="ttdeci">const unsigned int EvalBeforeNestingBit</div><div class="ttdef"><b>Definition:</b> Constants.h:72</div></div>
<div class="ttc" id="agroup__flags_html_gae4f56c2a60bbe4bd2e44c5b19cbe8762"><div class="ttname"><a href="group__flags.html#gae4f56c2a60bbe4bd2e44c5b19cbe8762">Eigen::RowMajorBit</a></div><div class="ttdeci">const unsigned int RowMajorBit</div><div class="ttdef"><b>Definition:</b> Constants.h:68</div></div>
<div class="ttc" id="anamespaceEigen_html"><div class="ttname"><a href="namespaceEigen.html">Eigen</a></div><div class="ttdoc">Namespace containing all symbols from the Eigen library.</div><div class="ttdef"><b>Definition:</b> Core:139</div></div>
<div class="ttc" id="anamespaceEigen_html_a62e77e0933482dafde8fe197d9a2cfde"><div class="ttname"><a href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Eigen::Index</a></div><div class="ttdeci">EIGEN_DEFAULT_DENSE_INDEX_TYPE Index</div><div class="ttdoc">The Index type as used for the API.</div><div class="ttdef"><b>Definition:</b> Meta.h:59</div></div>
<div class="ttc" id="anamespaceEigen_html_a9723b3ff0f2c99fe1081e3eb14380d4c"><div class="ttname"><a href="namespaceEigen.html#a9723b3ff0f2c99fe1081e3eb14380d4c">Eigen::operator*</a></div><div class="ttdeci">const Product&lt; MatrixDerived, PermutationDerived, AliasFreeProduct &gt; operator*(const MatrixBase&lt; MatrixDerived &gt; &amp;matrix, const PermutationBase&lt; PermutationDerived &gt; &amp;permutation)</div><div class="ttdef"><b>Definition:</b> PermutationMatrix.h:517</div></div>
<div class="ttc" id="astructEigen_1_1EigenBase_html_a1fbabe7f12bcbfba3b9a448b1f5e46fa"><div class="ttname"><a href="structEigen_1_1EigenBase.html#a1fbabe7f12bcbfba3b9a448b1f5e46fa">Eigen::EigenBase::derived</a></div><div class="ttdeci">Derived &amp; derived()</div><div class="ttdef"><b>Definition:</b> EigenBase.h:48</div></div>
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